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Finding the Fourth Proportional to 142,572.39, 196,742.08 and 81,309.58

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Solution

The fourth proportional to 142,572.39, 196,742.08 and 81,309.58 is: 112,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.39 : 196,742.08 = 81,309.58 : x
  2. Step 2: Convert to fraction form
    142,572.39/196,742.08 = 81,309.58/x
  3. Step 3: Cross multiply
    142,572.39x = 196,742.08 × 81,309.58
  4. Step 4: Simplify right side
    142,572.39x = 15,997,017,057.76
  5. Step 5: Solve for x
    x = 15,997,017,057.76/142,572.39
  6. Step 6: Final answer
    x = 112,202.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.